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Finding the Fourth Proportional to 103,140.68, 154,005.37 and 92,397.65

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Solution

The fourth proportional to 103,140.68, 154,005.37 and 92,397.65 is: 137,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,140.68 : 154,005.37 = 92,397.65 : x
  2. Step 2: Convert to fraction form
    103,140.68/154,005.37 = 92,397.65/x
  3. Step 3: Cross multiply
    103,140.68x = 154,005.37 × 92,397.65
  4. Step 4: Simplify right side
    103,140.68x = 14,229,733,274.36
  5. Step 5: Solve for x
    x = 14,229,733,274.36/103,140.68
  6. Step 6: Final answer
    x = 137,964.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.